Under the terms of the deal, the buyers’ consortium, which also includes Microsoft, will pay $13.65 a share in cash. That is roughly 25 percent above where Dell’s stock traded before word emerged of the negotiations of its sale.

Michael S. Dell will contribute his stake of roughly 14 percent toward the transaction, and will contribute additional cash through his private investment firm, MSD Capital. Silver Lake is expected to contribute about $1 billion in cash, while Microsoft will loan an additional $2 billion.